Halving in some genus 2 curves over binary fields
Issue date
2016-06Suggested citation
Garra Oronich, Ricard;
Miret, Josep M. (Josep Maria);
Pujolàs Boix, Jordi;
.
(2016)
.
Halving in some genus 2 curves over binary fields.
IEEE Latin America Transactions, 2016, vol. 14, núm. 6, p. 2885-2889.
http://hdl.handle.net/10459.1/59440.
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We give a method to compute the halving of a divisor in the Jacobian variety of a genus 2 curve in characteristic 2. We present explicit halving formulae for each possible divisor class for some curves (those with h (x)= x), detailing all the process to obtain them. We improve the fastest known formulae for some divisor classes in the studied type of curves.
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IEEE Latin America Transactions, 2016, vol. 14, núm. 6, p. 2885-2889European research projects
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